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Finding the Fourth Proportional to 103,853.96, 155,668.62 and 41,455.88

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Solution

The fourth proportional to 103,853.96, 155,668.62 and 41,455.88 is: 62,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,853.96 : 155,668.62 = 41,455.88 : x
  2. Step 2: Convert to fraction form
    103,853.96/155,668.62 = 41,455.88/x
  3. Step 3: Cross multiply
    103,853.96x = 155,668.62 × 41,455.88
  4. Step 4: Simplify right side
    103,853.96x = 6,453,379,630.49
  5. Step 5: Solve for x
    x = 6,453,379,630.49/103,853.96
  6. Step 6: Final answer
    x = 62,138.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.